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Finding the Fourth Proportional to 14,972, 22,442.64 and 6,212

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Solution

The fourth proportional to 14,972, 22,442.64 and 6,212 is: 9,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972 : 22,442.64 = 6,212 : x
  2. Step 2: Convert to fraction form
    14,972/22,442.64 = 6,212/x
  3. Step 3: Cross multiply
    14,972x = 22,442.64 × 6,212
  4. Step 4: Simplify right side
    14,972x = 139,413,679.68
  5. Step 5: Solve for x
    x = 139,413,679.68/14,972
  6. Step 6: Final answer
    x = 9,311.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.